The radius of a circle is 17.0cm and the length of the perpendicular drawn from i
centre to a chord is 8.0cm .Calculate the length of the chord.
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Answer:
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Answered by
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Answer:
In the figure, AC is the chord and OB is a perpendicular drawn from the center O on the chord.
Radius of the circle, r=OC=17 cm
Perpendicular length, OB=8 cm
Now triangle OBC is a right-angled triangle.
From Pythagoras theorem,
BC
2
=OC
2
−OB
2
=17
2
−8
2
=289−64
=225
BC=
225
=15 cm
Theorem: Perpendicular drawn from the center of a circle to the chord, bisects the chord.
So, length of the chord AC=2BC=30 cm
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